61331034240 has 768 divisors, whose sum is σ = 253955520000. Its totient is φ = 13623386112.

The previous prime is 61331034239. The next prime is 61331034241. The reversal of 61331034240 is 4243013316.

61331034240 is a `hidden beast` number, since 6 + 1 + 3 + 310 + 342 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61331034239) and next prime (61331034241).

It is a super-2 number, since 2×61331034240² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61331034241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73099741 + ... + 73100579.

It is an arithmetic number, because the mean of its divisors is an integer number (330671250).

Almost surely, 2^61331034240 is an apocalyptic number.

61331034240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61331034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760000).

61331034240 is an abundant number, since it is smaller than the sum of its proper divisors (192624485760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61331034240 is a wasteful number, since it uses less digits than its factorization.

61331034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 61331034240 its reverse (4243013316), we get a palindrome (65574047556).

The spelling of 61331034240 in words is "sixty-one billion, three hundred thirty-one million, thirty-four thousand, two hundred forty".